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104672900 = 22521989619
BaseRepresentation
bin1100011110100…
…10111010000100
321021221221020002
412033102322010
5203244013100
614215300432
72410463543
oct617227204
9237857202
10104672900
11540a3332
122b07a718
13188bb737
14dc8a15a
1592c92d5
hex63d2e84

104672900 has 72 divisors (see below), whose sum is σ = 242172000. Its totient is φ = 39156480.

The previous prime is 104672891. The next prime is 104672929. The reversal of 104672900 is 9276401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168791 + ... + 169409.

It is an arithmetic number, because the mean of its divisors is an integer number (3363500).

Almost surely, 2104672900 is an apocalyptic number.

104672900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104672900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086000).

104672900 is an abundant number, since it is smaller than the sum of its proper divisors (137499100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104672900 is a wasteful number, since it uses less digits than its factorization.

104672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 104672900 is about 10230.9774704082. The cubic root of 104672900 is about 471.2789971064.

The spelling of 104672900 in words is "one hundred four million, six hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 619 890 950 1238 1691 1780 1900 2225 2476 3095 3382 4450 6190 6764 8455 8900 11761 12380 15475 16910 23522 30950 33820 42275 47044 55091 58805 61900 84550 110182 117610 169100 220364 235220 275455 294025 550910 588050 1046729 1101820 1176100 1377275 2093458 2754550 4186916 5233645 5509100 10467290 20934580 26168225 52336450 104672900